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Simplifying -1 = 6ln(x + 2) + 3sqrt(1 + -1x2) Reorder the terms: -1 = 6ln(2 + x) + 3sqrt(1 + -1x2) -1 = (2 * 6ln + x * 6ln) + 3sqrt(1 + -1x2) -1 = (12ln + 6lnx) + 3sqrt(1 + -1x2) -1 = 12ln + 6lnx + (1 * 3qrst + -1x2 * 3qrst) -1 = 12ln + 6lnx + (3qrst + -3qrstx2) Solving -1 = 12ln + 6lnx + 3qrst + -3qrstx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. -1 + -12ln = 12ln + 6lnx + 3qrst + -12ln + -3qrstx2 Reorder the terms: -1 + -12ln = 12ln + -12ln + 6lnx + 3qrst + -3qrstx2 Combine like terms: 12ln + -12ln = 0 -1 + -12ln = 0 + 6lnx + 3qrst + -3qrstx2 -1 + -12ln = 6lnx + 3qrst + -3qrstx2 Add '-6lnx' to each side of the equation. -1 + -12ln + -6lnx = 6lnx + 3qrst + -6lnx + -3qrstx2 Reorder the terms: -1 + -12ln + -6lnx = 6lnx + -6lnx + 3qrst + -3qrstx2 Combine like terms: 6lnx + -6lnx = 0 -1 + -12ln + -6lnx = 0 + 3qrst + -3qrstx2 -1 + -12ln + -6lnx = 3qrst + -3qrstx2 Add '1' to each side of the equation. -1 + -12ln + 1 + -6lnx = 3qrst + 1 + -3qrstx2 Reorder the terms: -1 + 1 + -12ln + -6lnx = 3qrst + 1 + -3qrstx2 Combine like terms: -1 + 1 = 0 0 + -12ln + -6lnx = 3qrst + 1 + -3qrstx2 -12ln + -6lnx = 3qrst + 1 + -3qrstx2 Reorder the terms: -12ln + -6lnx = 1 + 3qrst + -3qrstx2 Reorder the terms: -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 1 + 3qrst + -3qrstx2 + -1 + -3qrst + 3qrstx2 Reorder the terms: -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 1 + -1 + 3qrst + -3qrst + -3qrstx2 + 3qrstx2 Combine like terms: 1 + -1 = 0 -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 0 + 3qrst + -3qrst + -3qrstx2 + 3qrstx2 -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 3qrst + -3qrst + -3qrstx2 + 3qrstx2 Combine like terms: 3qrst + -3qrst = 0 -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 0 + -3qrstx2 + 3qrstx2 -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = -3qrstx2 + 3qrstx2 Combine like terms: -3qrstx2 + 3qrstx2 = 0 -1 + -12ln + -6lnx + -3qrst + 3qrstx2 = 0 The solution to this equation could not be determined.
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